If `n` arithmetic means are inserted between 2 and 38, then the sum of the resulting series is obtained as 200. Then find the value of `ndot`

Explanation

To solve the problem, we need to find the value of \( n \) when \( n \) arithmetic means are inserted between 2 and 38, and the sum of the resulting series is 200.

### Step-by-Step Solution:

1. **Identify the Series**:
We are inserting \( n \) arithmetic means between 2 and 38. Thus, the series will consist of the first term (2), \( n \) arithmetic means, and the last term (38). The complete series will have \( n + 2 \) terms.

2. **Sum of the Series Formula**:
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